Turbine nozzle airfoil profile

ABSTRACT

A turbine nozzle is provided including a nozzle airfoil having an airfoil shape, the nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.

RELATED APPLICATIONS

The present application is related to the following co-pending applications having GE docket numbers 254996, 254997, 254999 and 255005, all filed concurrently herewith.

BACKGROUND OF THE INVENTION

The present application and the resultant patent relate generally to a turbine nozzle for a gas turbine engine and more particularly relate to a nozzle airfoil profile for a turbine stage.

In a gas turbine, many system requirements should be met at each stage of the gas turbine so as to meet design goals. These design goals may include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, a turbine nozzle airfoil profile should achieve thermal and mechanical operating requirements for that particular stage. Moreover, component lifetime and cost targets also should be met.

There is thus a desire therefore for an improved turbine nozzle airfoil profile for use in a turbine and the like. Such an improved airfoil design should achieve performance objectives and improve overall gas turbine performance in a component with a long lifetime and reasonable manufacture and operating costs.

BRIEF DESCRIPTION OF THE INVENTION

An aspect of the present invention may be embodied by a turbine nozzle including a nozzle airfoil having an airfoil shape, the nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.

An aspect of the present invention may be embodied in a turbine nozzle including a nozzle airfoil having a suction-side uncoated nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

An aspect of the present invention may be embodied in a turbine comprising a turbine wheel having a plurality of nozzles, each of the nozzles including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape.

These and other features and improvements of the present application and the resultant patent should become apparent to one of ordinary skill in the art upon review of the following detailed description when taken in conjunction with the several drawings and the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic diagram of a gas turbine engine, according to an aspect of the present invention;

FIG. 2 is a schematic diagram of a portion of a turbine having a nozzle arrangement as may be described herein, according to an aspect of the present invention;

FIG. 3 is a perspective view of a portion of a turbine nozzle showing an airfoil as may be described herein, according to an aspect of the present invention; and

FIG. 4 is a cross-sectional view of the airfoil of FIG. 3, according to an aspect of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, in which like numerals refer to like elements throughout the several views, FIG. 1 shows a schematic view of gas turbine engine 10 as may be used herein. The gas turbine engine 10 may include a compressor 15. The compressor 15 compresses an incoming flow of air 20. The compressor 15 delivers the compressed flow of air 20 to a combustor 25. The combustor 25 mixes the compressed flow of air 20 with a pressurized flow of fuel 30 and ignites the mixture to create a flow of combustion gases 35. Although only a single combustor 25 is shown, the gas turbine engine 10 may include any number of combustors 25. The flow of combustion gases 35 is in turn delivered to a turbine 40. The flow of combustion gases 35 drives the turbine 40 so as to produce mechanical work. The mechanical work produced in the turbine 40 drives the compressor 15 via a shaft 45 and an external load 50 such as an electrical generator and the like.

The gas turbine engine 10 may use natural gas, various types of syngas, and/or other types of fuels. The gas turbine engine 10 may be any one of a number of different gas turbine engines offered by General Electric Company of Schenectady, N.Y., including, but not limited to, those such as a 7 or a 9 series heavy duty gas turbine engine and the like. The gas turbine engine 10 may have different configurations and may use other types of components. It is to be understood that other types of gas turbine engines also may be used herein. Multiple gas turbine engines, other types of turbines, and other types of power generation equipment also may be used herein together.

FIG. 2 shows a schematic diagram of a turbine 100 as may be described herein. The turbine 100 may include a first stage 110, a second stage 120, a third stage 130, a fourth stage 140, a fifth stage 142, a sixth stage 144, and the like. Any number of stages may be used herein. For example, the first stage 110 may include a number of circumferentially spaced nozzles 150 and buckets 160. The first stage buckets 160 are mounted on a turbine rotor 170. The nozzles 150 are circumferentially spaced one from the other and fixed about an axis of the rotor. The second stage of the turbine 100 includes a number of circumferentially spaced nozzles 180 and a number of circumferentially spaced buckets 190 mounted on the rotor 170. The third stage also includes a number of circumferentially spaced nozzles 200 and buckets 210 mounted on the rotor 170. The fourth stage 140 includes a number of circumferentially spaced nozzles 220 and buckets 230 mounted on the rotor 170. The fifth stage 142 includes a number of circumferentially spaced nozzles 232 and buckets 234 mounted on the rotor 170. The sixth stage 144 includes a number of circumferentially spaced nozzles 236 and buckets 238 mounted on the rotor 170. Again, any number of stages may be used herein. It will be appreciated that the nozzles and buckets lie in a hot gas path 240 of the turbine. Other components and other configurations may be used herein.

Referring to FIGS. 3 and 4, it will be appreciated that each nozzle 180 has a nozzle airfoil 250 as illustrated. The airfoil 250 may have a pressure side 270 and a suction side 260. The suction side 260 is shown in FIG. 3 and the pressure side 270 is located on the opposing side of the airfoil 250. Thus, each of the nozzles 180 has a nozzle airfoil profile at any cross-section in the shape of the airfoil 250. A tip 280 is at or near the top of the airfoil 250 and a base 290 is at or near the bottom of the airfoil 250. The airfoil 250 also includes a leading edge 300 and a trailing edge 310, and a chord length 320 extends therebetween. The base 290 corresponds to the non-dimensional Z value of Table 1 at Z equals 0. The tip 280 of the nozzle airfoil 250 corresponds to the non-dimensional Z value of Table 1 at Z equals 100. The X, Y, and Z values are given in percentage values of the airfoil length. As non-limiting examples only, the height of the airfoil could be in the range of about 4 to about 20 inches, about 4 to about 12 inches, or about 7 to about 9 inches. However, it is to be understood that heights below or above this range may also be employed as desired in the specific application. The airfoil 250 may be used for any stage, including but not limited to a first stage, a second stage, a third stage, a fourth stage, a fifth stage, and the like.

The gas turbine hot gas path 240 requires airfoils 250 that meet system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each nozzle airfoil, there is a unique set or loci of points in space that meet the stage requirements and can be manufactured. These unique loci of points meet the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system. The locus that defines the nozzle airfoil profile includes a set of about 2,200 points with X, Y and Z dimensions relative to a reference origin coordinate system. The Cartesian coordinate system of X, Y and Z values given in Table 1 below defines the profile of the nozzle airfoil at various locations along its length. Table 1 lists data for a non-coated airfoil. The envelope/tolerance for the coordinates is about +/−5% in a direction normal to any airfoil surface location, and/or about +/−5% of the chord length 320 in a direction normal to any airfoil surface location. The point data origin is the leading edge of the base 260. The coordinate values for the X, Y and Z coordinates are set forth in non-dimensionalized units by the blade height in Table 1 although other units of dimensions may be used when the values are appropriately converted. The X, Y, and Z values set forth in Table 1 are also expressed in non-dimensional form (X, Y, and Z) from 0% to 100% of the blade or airfoil height. As one example only, the Cartesian coordinate values of X, Y and Z may be convertible to dimensional distances by multiplying the X, Y and Z values by a height of the airfoil at the trailing edge and multiplying by a constant number (e.g., 100). To convert the Z value to a Z coordinate value, e.g., in inches, the non-dimensional Z value given in Table 1 is multiplied by the Z length of the airfoil in inches. As described above, the Cartesian coordinate system has orthogonally-related X, Y and Z axes and the X axis lies generally parallel to the turbine rotor centerline, i.e., the rotary axis and a positive X coordinate value is axial toward the aft, i.e., exhaust end of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor and the positive Z coordinate value is radially outwardly toward the nozzle tip. All the values in Table 1 are given at room temperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section or airfoil shape of the nozzle airfoil, at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.

The Table 1 values are generated and shown to three decimal places for determining the profile of the airfoil. As the blade heats up in surface, stress and temperature will cause a change in the X, Y and Z values. Accordingly, the values for the profile given in Table I represent ambient, non-operating or non-hot conditions (e.g., room temperature) and are for an uncoated airfoil.

There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil. Each section is joined smoothly with the other sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in Table 1 below. Accordingly, a distance of about +/−5% in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular nozzle airfoil design and turbine, i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in the Table below at the same temperature. The data is scalable and the geometry pertains to all aerodynamic scales, at, above and/or below 3000 RPM. The nozzle airfoil design is robust to this range of variation without impairment of mechanical and aerodynamic functions.

TABLE 1 N Location X Y Z 1 Suction-Side 0.000 0.000 0 2 Suction-Side 0.049 −1.135 0 3 Suction-Side 0.237 −2.253 0 4 Suction-Side 0.559 −3.343 0 5 Suction-Side 1.009 −4.386 0 6 Suction-Side 1.570 −5.372 0 7 Suction-Side 2.233 −6.294 0 8 Suction-Side 2.982 −7.147 0 9 Suction-Side 3.805 −7.929 0 10 Suction-Side 4.693 −8.638 0 11 Suction-Side 5.635 −9.272 0 12 Suction-Side 6.622 −9.834 0 13 Suction-Side 7.647 −10.321 0 14 Suction-Side 8.706 −10.733 0 15 Suction-Side 9.789 −11.072 0 16 Suction-Side 10.895 −11.337 0 17 Suction-Side 12.015 −11.524 0 18 Suction-Side 13.144 −11.636 0 19 Suction-Side 14.280 −11.672 0 20 Suction-Side 15.415 −11.630 0 21 Suction-Side 16.545 −11.513 0 22 Suction-Side 17.663 −11.318 0 23 Suction-Side 18.767 −11.050 0 24 Suction-Side 19.851 −10.709 0 25 Suction-Side 20.909 −10.299 0 26 Suction-Side 21.940 −9.820 0 27 Suction-Side 22.939 −9.280 0 28 Suction-Side 23.905 −8.682 0 29 Suction-Side 24.834 −8.029 0 30 Suction-Side 25.728 −7.329 0 31 Suction-Side 26.585 −6.584 0 32 Suction-Side 27.405 −5.799 0 33 Suction-Side 28.191 −4.978 0 34 Suction-Side 28.941 −4.125 0 35 Suction-Side 29.659 −3.245 0 36 Suction-Side 30.344 −2.339 0 37 Suction-Side 30.999 −1.410 0 38 Suction-Side 31.624 −0.463 0 39 Suction-Side 32.224 0.502 0 40 Suction-Side 32.798 1.482 0 41 Suction-Side 33.348 2.476 0 42 Suction-Side 33.875 3.482 0 43 Suction-Side 34.381 4.499 0 44 Suction-Side 34.868 5.526 0 45 Suction-Side 35.335 6.561 0 46 Suction-Side 35.787 7.603 0 47 Suction-Side 36.223 8.652 0 48 Suction-Side 36.644 9.707 0 49 Suction-Side 37.050 10.767 0 50 Suction-Side 37.444 11.834 0 51 Suction-Side 37.826 12.903 0 52 Suction-Side 38.198 13.977 0 53 Suction-Side 38.559 15.054 0 54 Suction-Side 38.911 16.133 0 55 Suction-Side 39.252 17.217 0 56 Suction-Side 39.586 18.302 0 57 Suction-Side 39.913 19.390 0 58 Suction-Side 40.233 20.481 0 59 Suction-Side 40.546 21.573 0 60 Suction-Side 40.853 22.666 0 61 Suction-Side 41.155 23.761 0 62 Suction-Side 41.452 24.858 0 63 Suction-Side 41.744 25.956 0 64 Suction-Side 42.032 27.054 0 65 Suction-Side 42.317 28.154 0 66 Suction-Side 42.597 29.255 0 67 Suction-Side 42.876 30.356 0 68 Suction-Side 43.152 31.458 0 69 Suction-Side 43.424 32.561 0 70 Suction-Side 43.695 33.663 0 71 Suction-Side 43.963 34.767 0 72 Suction-Side 44.230 35.871 0 73 Suction-Side 44.496 36.977 0 74 Suction-Side 44.760 38.081 0 75 Suction-Side 45.024 39.186 0 76 Suction-Side 45.288 40.291 0 77 Suction-Side 45.550 41.397 0 78 Suction-Side 45.812 42.502 0 79 Suction-Side 46.073 43.607 0 80 Suction-Side 46.335 44.712 0 81 Suction-Side 46.596 45.818 0 82 Suction-Side 46.858 46.923 0 83 Suction-Side 47.119 48.028 0 84 Suction-Side 47.381 49.133 0 85 Suction-Side 47.643 50.240 0 86 Suction-Side 47.903 51.345 0 87 Suction-Side 48.165 52.450 0 88 Suction-Side 48.426 53.556 0 89 Suction-Side 48.687 54.661 0 90 Suction-Side 48.949 55.766 0 91 Suction-Side 49.208 56.873 0 92 Suction-Side 49.469 57.978 0 93 Suction-Side 49.728 59.084 0 94 Suction-Side 49.987 60.190 0 95 Suction-Side 50.245 61.296 0 96 Suction-Side 50.503 62.403 0 97 Suction-Side 50.761 63.509 0 98 Suction-Side 51.018 64.616 0 99 Suction-Side 51.274 65.722 0 100 Suction-Side 51.469 66.836 0 101 Pressure-Side 50.791 67.672 0 102 Pressure-Side 49.963 67.580 0 103 Pressure-Side 49.471 66.900 0 104 Pressure-Side 49.148 66.104 0 105 Pressure-Side 48.820 65.310 0 106 Pressure-Side 48.486 64.518 0 107 Pressure-Side 48.148 63.728 0 108 Pressure-Side 47.805 62.940 0 109 Pressure-Side 47.458 62.155 0 110 Pressure-Side 47.105 61.371 0 111 Pressure-Side 46.748 60.590 0 112 Pressure-Side 46.386 59.812 0 113 Pressure-Side 46.018 59.035 0 114 Pressure-Side 45.645 58.261 0 115 Pressure-Side 45.267 57.490 0 116 Pressure-Side 44.884 56.721 0 117 Pressure-Side 44.494 55.955 0 118 Pressure-Side 44.100 55.192 0 119 Pressure-Side 43.701 54.431 0 120 Pressure-Side 43.299 53.673 0 121 Pressure-Side 42.890 52.917 0 122 Pressure-Side 42.476 52.164 0 123 Pressure-Side 42.059 51.414 0 124 Pressure-Side 41.635 50.666 0 125 Pressure-Side 41.208 49.920 0 126 Pressure-Side 40.776 49.179 0 127 Pressure-Side 40.339 48.438 0 128 Pressure-Side 39.897 47.701 0 129 Pressure-Side 39.452 46.967 0 130 Pressure-Side 39.001 46.235 0 131 Pressure-Side 38.547 45.507 0 132 Pressure-Side 38.089 44.780 0 133 Pressure-Side 37.625 44.056 0 134 Pressure-Side 37.159 43.335 0 135 Pressure-Side 36.688 42.617 0 136 Pressure-Side 36.213 41.901 0 137 Pressure-Side 35.734 41.188 0 138 Pressure-Side 35.251 40.477 0 139 Pressure-Side 34.764 39.770 0 140 Pressure-Side 34.273 39.065 0 141 Pressure-Side 33.778 38.362 0 142 Pressure-Side 33.280 37.663 0 143 Pressure-Side 32.777 36.966 0 144 Pressure-Side 32.271 36.272 0 145 Pressure-Side 31.761 35.581 0 146 Pressure-Side 31.247 34.892 0 147 Pressure-Side 30.729 34.208 0 148 Pressure-Side 30.207 33.525 0 149 Pressure-Side 29.682 32.846 0 150 Pressure-Side 29.152 32.169 0 151 Pressure-Side 28.619 31.496 0 152 Pressure-Side 28.082 30.825 0 153 Pressure-Side 27.541 30.158 0 154 Pressure-Side 26.996 29.493 0 155 Pressure-Side 26.447 28.832 0 156 Pressure-Side 25.895 28.175 0 157 Pressure-Side 25.338 27.520 0 158 Pressure-Side 24.777 26.870 0 159 Pressure-Side 24.213 26.223 0 160 Pressure-Side 23.645 25.578 0 161 Pressure-Side 23.072 24.938 0 162 Pressure-Side 22.496 24.300 0 163 Pressure-Side 21.916 23.667 0 164 Pressure-Side 21.332 23.037 0 165 Pressure-Side 20.744 22.410 0 166 Pressure-Side 20.152 21.788 0 167 Pressure-Side 19.557 21.169 0 168 Pressure-Side 18.957 20.553 0 169 Pressure-Side 18.355 19.941 0 170 Pressure-Side 17.748 19.333 0 171 Pressure-Side 17.137 18.728 0 172 Pressure-Side 16.524 18.127 0 173 Pressure-Side 15.907 17.530 0 174 Pressure-Side 15.286 16.935 0 175 Pressure-Side 14.663 16.344 0 176 Pressure-Side 14.038 15.756 0 177 Pressure-Side 13.409 15.171 0 178 Pressure-Side 12.777 14.589 0 179 Pressure-Side 12.143 14.009 0 180 Pressure-Side 11.507 13.431 0 181 Pressure-Side 10.870 12.854 0 182 Pressure-Side 10.231 12.280 0 183 Pressure-Side 9.591 11.707 0 184 Pressure-Side 8.951 11.135 0 185 Pressure-Side 8.311 10.562 0 186 Pressure-Side 7.672 9.988 0 187 Pressure-Side 7.034 9.412 0 188 Pressure-Side 6.399 8.834 0 189 Pressure-Side 5.767 8.252 0 190 Pressure-Side 5.141 7.665 0 191 Pressure-Side 4.520 7.070 0 192 Pressure-Side 3.909 6.465 0 193 Pressure-Side 3.311 5.849 0 194 Pressure-Side 2.727 5.219 0 195 Pressure-Side 2.165 4.569 0 196 Pressure-Side 1.632 3.896 0 197 Pressure-Side 1.138 3.193 0 198 Pressure-Side 0.700 2.454 0 199 Pressure-Side 0.341 1.674 0 200 Pressure-Side 0.097 0.852 0 1 Suction-Side −0.424 −0.710 10 2 Suction-Side −0.280 −1.857 10 3 Suction-Side 0.023 −2.971 10 4 Suction-Side 0.476 −4.034 10 5 Suction-Side 1.060 −5.031 10 6 Suction-Side 1.755 −5.955 10 7 Suction-Side 2.543 −6.800 10 8 Suction-Side 3.408 −7.568 10 9 Suction-Side 4.334 −8.259 10 10 Suction-Side 5.313 −8.874 10 11 Suction-Side 6.335 −9.414 10 12 Suction-Side 7.392 −9.882 10 13 Suction-Side 8.477 −10.278 10 14 Suction-Side 9.588 −10.603 10 15 Suction-Side 10.715 −10.857 10 16 Suction-Side 11.857 −11.039 10 17 Suction-Side 13.007 −11.151 10 18 Suction-Side 14.163 −11.190 10 19 Suction-Side 15.318 −11.155 10 20 Suction-Side 16.470 −11.049 10 21 Suction-Side 17.612 −10.870 10 22 Suction-Side 18.741 −10.618 10 23 Suction-Side 19.851 −10.296 10 24 Suction-Side 20.938 −9.903 10 25 Suction-Side 21.999 −9.444 10 26 Suction-Side 23.031 −8.922 10 27 Suction-Side 24.028 −8.339 10 28 Suction-Side 24.991 −7.700 10 29 Suction-Side 25.919 −7.009 10 30 Suction-Side 26.809 −6.271 10 31 Suction-Side 27.661 −5.490 10 32 Suction-Side 28.476 −4.671 10 33 Suction-Side 29.256 −3.816 10 34 Suction-Side 30.000 −2.930 10 35 Suction-Side 30.710 −2.018 10 36 Suction-Side 31.387 −1.082 10 37 Suction-Side 32.034 −0.124 10 38 Suction-Side 32.652 0.854 10 39 Suction-Side 33.242 1.848 10 40 Suction-Side 33.807 2.857 10 41 Suction-Side 34.346 3.880 10 42 Suction-Side 34.864 4.913 10 43 Suction-Side 35.361 5.958 10 44 Suction-Side 35.837 7.011 10 45 Suction-Side 36.295 8.073 10 46 Suction-Side 36.734 9.142 10 47 Suction-Side 37.159 10.218 10 48 Suction-Side 37.568 11.300 10 49 Suction-Side 37.962 12.387 10 50 Suction-Side 38.344 13.479 10 51 Suction-Side 38.714 14.574 10 52 Suction-Side 39.071 15.673 10 53 Suction-Side 39.419 16.776 10 54 Suction-Side 39.755 17.882 10 55 Suction-Side 40.083 18.991 10 56 Suction-Side 40.403 20.102 10 57 Suction-Side 40.715 21.215 10 58 Suction-Side 41.020 22.330 10 59 Suction-Side 41.317 23.448 10 60 Suction-Side 41.608 24.567 10 61 Suction-Side 41.894 25.688 10 62 Suction-Side 42.174 26.809 10 63 Suction-Side 42.449 27.933 10 64 Suction-Side 42.721 29.056 10 65 Suction-Side 42.988 30.181 10 66 Suction-Side 43.252 31.307 10 67 Suction-Side 43.512 32.433 10 68 Suction-Side 43.770 33.561 10 69 Suction-Side 44.024 34.689 10 70 Suction-Side 44.277 35.818 10 71 Suction-Side 44.528 36.946 10 72 Suction-Side 44.776 38.075 10 73 Suction-Side 45.022 39.204 10 74 Suction-Side 45.268 40.334 10 75 Suction-Side 45.513 41.465 10 76 Suction-Side 45.756 42.595 10 77 Suction-Side 45.999 43.726 10 78 Suction-Side 46.242 44.856 10 79 Suction-Side 46.483 45.987 10 80 Suction-Side 46.726 47.118 10 81 Suction-Side 46.967 48.248 10 82 Suction-Side 47.208 49.379 10 83 Suction-Side 47.449 50.510 10 84 Suction-Side 47.690 51.640 10 85 Suction-Side 47.931 52.771 10 86 Suction-Side 48.173 53.902 10 87 Suction-Side 48.412 55.033 10 88 Suction-Side 48.654 56.164 10 89 Suction-Side 48.894 57.295 10 90 Suction-Side 49.133 58.427 10 91 Suction-Side 49.372 59.558 10 92 Suction-Side 49.611 60.689 10 93 Suction-Side 49.849 61.820 10 94 Suction-Side 50.087 62.952 10 95 Suction-Side 50.324 64.083 10 96 Suction-Side 50.561 65.215 10 97 Suction-Side 50.797 66.348 10 98 Suction-Side 51.033 67.480 10 99 Suction-Side 51.267 68.612 10 100 Suction-Side 51.449 69.749 10 101 Pressure-Side 50.759 70.596 10 102 Pressure-Side 49.905 70.469 10 103 Pressure-Side 49.428 69.734 10 104 Pressure-Side 49.111 68.900 10 105 Pressure-Side 48.788 68.067 10 106 Pressure-Side 48.461 67.236 10 107 Pressure-Side 48.131 66.406 10 108 Pressure-Side 47.796 65.579 10 109 Pressure-Side 47.455 64.753 10 110 Pressure-Side 47.111 63.928 10 111 Pressure-Side 46.763 63.106 10 112 Pressure-Side 46.409 62.285 10 113 Pressure-Side 46.051 61.468 10 114 Pressure-Side 45.688 60.651 10 115 Pressure-Side 45.321 59.837 10 116 Pressure-Side 44.947 59.026 10 117 Pressure-Side 44.570 58.217 10 118 Pressure-Side 44.187 57.410 10 119 Pressure-Side 43.800 56.605 10 120 Pressure-Side 43.409 55.802 10 121 Pressure-Side 43.011 55.002 10 122 Pressure-Side 42.610 54.204 10 123 Pressure-Side 42.203 53.409 10 124 Pressure-Side 41.792 52.617 10 125 Pressure-Side 41.375 51.826 10 126 Pressure-Side 40.953 51.039 10 127 Pressure-Side 40.528 50.253 10 128 Pressure-Side 40.098 49.471 10 129 Pressure-Side 39.662 48.692 10 130 Pressure-Side 39.222 47.914 10 131 Pressure-Side 38.776 47.141 10 132 Pressure-Side 38.327 46.368 10 133 Pressure-Side 37.871 45.600 10 134 Pressure-Side 37.412 44.835 10 135 Pressure-Side 36.949 44.071 10 136 Pressure-Side 36.479 43.311 10 137 Pressure-Side 36.006 42.554 10 138 Pressure-Side 35.528 41.799 10 139 Pressure-Side 35.044 41.049 10 140 Pressure-Side 34.556 40.300 10 141 Pressure-Side 34.064 39.556 10 142 Pressure-Side 33.567 38.813 10 143 Pressure-Side 33.065 38.075 10 144 Pressure-Side 32.558 37.339 10 145 Pressure-Side 32.047 36.607 10 146 Pressure-Side 31.531 35.878 10 147 Pressure-Side 31.010 35.152 10 148 Pressure-Side 30.485 34.430 10 149 Pressure-Side 29.955 33.711 10 150 Pressure-Side 29.420 32.995 10 151 Pressure-Side 28.880 32.284 10 152 Pressure-Side 28.337 31.575 10 153 Pressure-Side 27.787 30.871 10 154 Pressure-Side 27.234 30.170 10 155 Pressure-Side 26.676 29.472 10 156 Pressure-Side 26.113 28.780 10 157 Pressure-Side 25.546 28.089 10 158 Pressure-Side 24.974 27.404 10 159 Pressure-Side 24.397 26.721 10 160 Pressure-Side 23.816 26.043 10 161 Pressure-Side 23.230 25.370 10 162 Pressure-Side 22.640 24.699 10 163 Pressure-Side 22.045 24.033 10 164 Pressure-Side 21.446 23.371 10 165 Pressure-Side 20.842 22.712 10 166 Pressure-Side 20.234 22.059 10 167 Pressure-Side 19.621 21.409 10 168 Pressure-Side 19.004 20.763 10 169 Pressure-Side 18.382 20.121 10 170 Pressure-Side 17.756 19.483 10 171 Pressure-Side 17.127 18.851 10 172 Pressure-Side 16.494 18.220 10 173 Pressure-Side 15.857 17.595 10 174 Pressure-Side 15.215 16.973 10 175 Pressure-Side 14.570 16.355 10 176 Pressure-Side 13.922 15.741 10 177 Pressure-Side 13.271 15.130 10 178 Pressure-Side 12.616 14.523 10 179 Pressure-Side 11.958 13.918 10 180 Pressure-Side 11.299 13.317 10 181 Pressure-Side 10.635 12.717 10 182 Pressure-Side 9.972 12.120 10 183 Pressure-Side 9.306 11.525 10 184 Pressure-Side 8.639 10.931 10 185 Pressure-Side 7.971 10.338 10 186 Pressure-Side 7.304 9.744 10 187 Pressure-Side 6.639 9.149 10 188 Pressure-Side 5.976 8.551 10 189 Pressure-Side 5.315 7.950 10 190 Pressure-Side 4.660 7.343 10 191 Pressure-Side 4.011 6.728 10 192 Pressure-Side 3.373 6.103 10 193 Pressure-Side 2.749 5.465 10 194 Pressure-Side 2.143 4.808 10 195 Pressure-Side 1.563 4.130 10 196 Pressure-Side 1.018 3.421 10 197 Pressure-Side 0.526 2.677 10 198 Pressure-Side 0.106 1.889 10 199 Pressure-Side −0.211 1.055 10 200 Pressure-Side −0.394 0.181 10 1 Suction-Side −0.856 −1.286 20 2 Suction-Side −0.645 −2.443 20 3 Suction-Side −0.256 −3.554 20 4 Suction-Side 0.290 −4.596 20 5 Suction-Side 0.968 −5.558 20 6 Suction-Side 1.755 −6.435 20 7 Suction-Side 2.627 −7.225 20 8 Suction-Side 3.568 −7.933 20 9 Suction-Side 4.564 −8.561 20 10 Suction-Side 5.605 −9.113 20 11 Suction-Side 6.681 −9.590 20 12 Suction-Side 7.786 −9.996 20 13 Suction-Side 8.914 −10.332 20 14 Suction-Side 10.062 −10.597 20 15 Suction-Side 11.223 −10.794 20 16 Suction-Side 12.394 −10.920 20 17 Suction-Side 13.570 −10.978 20 18 Suction-Side 14.748 −10.966 20 19 Suction-Side 15.922 −10.882 20 20 Suction-Side 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−4.794 80 32 Suction-Side 28.468 −3.829 80 33 Suction-Side 29.258 −2.834 80 34 Suction-Side 30.015 −1.810 80 35 Suction-Side 30.737 −0.764 80 36 Suction-Side 31.427 0.305 80 37 Suction-Side 32.087 1.393 80 38 Suction-Side 32.716 2.498 80 39 Suction-Side 33.319 3.619 80 40 Suction-Side 33.896 4.753 80 41 Suction-Side 34.449 5.898 80 42 Suction-Side 34.980 7.054 80 43 Suction-Side 35.488 8.220 80 44 Suction-Side 35.977 9.395 80 45 Suction-Side 36.447 10.578 80 46 Suction-Side 36.898 11.766 80 47 Suction-Side 37.333 12.962 80 48 Suction-Side 37.753 14.163 80 49 Suction-Side 38.157 15.370 80 50 Suction-Side 38.547 16.580 80 51 Suction-Side 38.924 17.794 80 52 Suction-Side 39.290 19.013 80 53 Suction-Side 39.644 20.235 80 54 Suction-Side 39.988 21.460 80 55 Suction-Side 40.321 22.688 80 56 Suction-Side 40.645 23.918 80 57 Suction-Side 40.961 25.151 80 58 Suction-Side 41.268 26.384 80 59 Suction-Side 41.568 27.621 80 60 Suction-Side 41.860 28.859 80 61 Suction-Side 42.148 30.098 80 62 Suction-Side 42.428 31.339 80 63 Suction-Side 42.703 32.581 80 64 Suction-Side 42.973 33.825 80 65 Suction-Side 43.239 35.069 80 66 Suction-Side 43.499 36.313 80 67 Suction-Side 43.756 37.559 80 68 Suction-Side 44.010 38.807 80 69 Suction-Side 44.259 40.054 80 70 Suction-Side 44.507 41.301 80 71 Suction-Side 44.752 42.550 80 72 Suction-Side 44.993 43.799 80 73 Suction-Side 45.231 45.049 80 74 Suction-Side 45.469 46.299 80 75 Suction-Side 45.704 47.548 80 76 Suction-Side 45.938 48.799 80 77 Suction-Side 46.171 50.049 80 78 Suction-Side 46.403 51.300 80 79 Suction-Side 46.633 52.552 80 80 Suction-Side 46.863 53.803 80 81 Suction-Side 47.092 55.054 80 82 Suction-Side 47.319 56.306 80 83 Suction-Side 47.547 57.557 80 84 Suction-Side 47.774 58.809 80 85 Suction-Side 48.000 60.061 80 86 Suction-Side 48.226 61.313 80 87 Suction-Side 48.453 62.564 80 88 Suction-Side 48.679 63.816 80 89 Suction-Side 48.905 65.069 80 90 Suction-Side 49.131 66.321 80 91 Suction-Side 49.357 67.573 80 92 Suction-Side 49.583 68.824 80 93 Suction-Side 49.809 70.076 80 94 Suction-Side 50.035 71.328 80 95 Suction-Side 50.262 72.580 80 96 Suction-Side 50.488 73.831 80 97 Suction-Side 50.716 75.083 80 98 Suction-Side 50.942 76.335 80 99 Suction-Side 51.170 77.586 80 100 Suction-Side 51.377 78.841 80 101 Pressure-Side 50.636 79.767 80 102 Pressure-Side 49.703 79.542 80 103 Pressure-Side 49.259 78.660 80 104 Pressure-Side 48.917 77.720 80 105 Pressure-Side 48.568 76.782 80 106 Pressure-Side 48.213 75.846 80 107 Pressure-Side 47.852 74.913 80 108 Pressure-Side 47.485 73.983 80 109 Pressure-Side 47.113 73.054 80 110 Pressure-Side 46.733 72.129 80 111 Pressure-Side 46.350 71.204 80 112 Pressure-Side 45.962 70.282 80 113 Pressure-Side 45.569 69.361 80 114 Pressure-Side 45.173 68.443 80 115 Pressure-Side 44.771 67.526 80 116 Pressure-Side 44.366 66.612 80 117 Pressure-Side 43.957 65.699 80 118 Pressure-Side 43.543 64.787 80 119 Pressure-Side 43.126 63.879 80 120 Pressure-Side 42.704 62.971 80 121 Pressure-Side 42.279 62.065 80 122 Pressure-Side 41.849 61.162 80 123 Pressure-Side 41.416 60.259 80 124 Pressure-Side 40.979 59.360 80 125 Pressure-Side 40.540 58.461 80 126 Pressure-Side 40.095 57.564 80 127 Pressure-Side 39.647 56.670 80 128 Pressure-Side 39.196 55.777 80 129 Pressure-Side 38.742 54.886 80 130 Pressure-Side 38.283 53.996 80 131 Pressure-Side 37.821 53.109 80 132 Pressure-Side 37.355 52.224 80 133 Pressure-Side 36.886 51.339 80 134 Pressure-Side 36.414 50.458 80 135 Pressure-Side 35.939 49.578 80 136 Pressure-Side 35.459 48.699 80 137 Pressure-Side 34.977 47.823 80 138 Pressure-Side 34.491 46.949 80 139 Pressure-Side 34.001 46.076 80 140 Pressure-Side 33.508 45.204 80 141 Pressure-Side 33.012 44.335 80 142 Pressure-Side 32.513 43.469 80 143 Pressure-Side 32.010 42.605 80 144 Pressure-Side 31.503 41.742 80 145 Pressure-Side 30.994 40.880 80 146 Pressure-Side 30.480 40.022 80 147 Pressure-Side 29.963 39.165 80 148 Pressure-Side 29.442 38.311 80 149 Pressure-Side 28.918 37.459 80 150 Pressure-Side 28.390 36.608 80 151 Pressure-Side 27.859 35.761 80 152 Pressure-Side 27.323 34.916 80 153 Pressure-Side 26.785 34.072 80 154 Pressure-Side 26.241 33.233 80 155 Pressure-Side 25.695 32.394 80 156 Pressure-Side 25.144 31.559 80 157 Pressure-Side 24.589 30.727 80 158 Pressure-Side 24.029 29.897 80 159 Pressure-Side 23.465 29.071 80 160 Pressure-Side 22.897 28.247 80 161 Pressure-Side 22.324 27.427 80 162 Pressure-Side 21.747 26.610 80 163 Pressure-Side 21.165 25.796 80 164 Pressure-Side 20.578 24.987 80 165 Pressure-Side 19.987 24.180 80 166 Pressure-Side 19.389 23.377 80 167 Pressure-Side 18.787 22.578 80 168 Pressure-Side 18.180 21.782 80 169 Pressure-Side 17.567 20.991 80 170 Pressure-Side 16.949 20.206 80 171 Pressure-Side 16.324 19.424 80 172 Pressure-Side 15.694 18.646 80 173 Pressure-Side 15.059 17.873 80 174 Pressure-Side 14.416 17.105 80 175 Pressure-Side 13.769 16.343 80 176 Pressure-Side 13.115 15.586 80 177 Pressure-Side 12.454 14.835 80 178 Pressure-Side 11.787 14.088 80 179 Pressure-Side 11.114 13.349 80 180 Pressure-Side 10.435 12.614 80 181 Pressure-Side 9.748 11.886 80 182 Pressure-Side 9.056 11.164 80 183 Pressure-Side 8.356 10.448 80 184 Pressure-Side 7.651 9.739 80 185 Pressure-Side 6.940 9.035 80 186 Pressure-Side 6.223 8.338 80 187 Pressure-Side 5.499 7.646 80 188 Pressure-Side 4.771 6.961 80 189 Pressure-Side 4.037 6.280 80 190 Pressure-Side 3.299 5.606 80 191 Pressure-Side 2.557 4.934 80 192 Pressure-Side 1.814 4.264 80 193 Pressure-Side 1.069 3.596 80 194 Pressure-Side 0.327 2.924 80 195 Pressure-Side −0.409 2.247 80 196 Pressure-Side −1.132 1.556 80 197 Pressure-Side −1.835 0.843 80 198 Pressure-Side −2.493 0.091 80 199 Pressure-Side −3.070 −0.726 80 200 Pressure-Side −3.471 −1.639 80 1 Suction-Side −3.978 −2.940 90 2 Suction-Side −3.709 −4.184 90 3 Suction-Side −3.228 −5.362 90 4 Suction-Side −2.578 −6.457 90 5 Suction-Side −1.798 −7.464 90 6 Suction-Side −0.917 −8.384 90 7 Suction-Side 0.044 −9.219 90 8 Suction-Side 1.071 −9.972 90 9 Suction-Side 2.153 −10.646 90 10 Suction-Side 3.279 −11.240 90 11 Suction-Side 4.444 −11.756 90 12 Suction-Side 5.640 −12.196 90 13 Suction-Side 6.862 −12.557 90 14 Suction-Side 8.104 −12.837 90 15 Suction-Side 9.362 −13.038 90 16 Suction-Side 10.630 −13.154 90 17 Suction-Side 11.905 −13.187 90 18 Suction-Side 13.177 −13.133 90 19 Suction-Side 14.443 −12.993 90 20 Suction-Side 15.696 −12.765 90 21 Suction-Side 16.931 −12.450 90 22 Suction-Side 18.141 −12.053 90 23 Suction-Side 19.321 −11.573 90 24 Suction-Side 20.466 −11.015 90 25 Suction-Side 21.574 −10.386 90 26 Suction-Side 22.641 −9.689 90 27 Suction-Side 23.666 −8.933 90 28 Suction-Side 24.646 −8.120 90 29 Suction-Side 25.585 −7.258 90 30 Suction-Side 26.481 −6.353 90 31 Suction-Side 27.337 −5.409 90 32 Suction-Side 28.153 −4.430 90 33 Suction-Side 28.931 −3.421 90 34 Suction-Side 29.673 −2.386 90 35 Suction-Side 30.382 −1.327 90 36 Suction-Side 31.059 −0.247 90 37 Suction-Side 31.706 0.851 90 38 Suction-Side 32.324 1.963 90 39 Suction-Side 32.917 3.092 90 40 Suction-Side 33.485 4.233 90 41 Suction-Side 34.028 5.384 90 42 Suction-Side 34.551 6.547 90 43 Suction-Side 35.053 7.718 90 44 Suction-Side 35.535 8.897 90 45 Suction-Side 35.999 10.084 90 46 Suction-Side 36.447 11.277 90 47 Suction-Side 36.879 12.476 90 48 Suction-Side 37.296 13.679 90 49 Suction-Side 37.699 14.887 90 50 Suction-Side 38.089 16.100 90 51 Suction-Side 38.469 17.317 90 52 Suction-Side 38.836 18.537 90 53 Suction-Side 39.192 19.761 90 54 Suction-Side 39.540 20.987 90 55 Suction-Side 39.876 22.215 90 56 Suction-Side 40.206 23.447 90 57 Suction-Side 40.526 24.679 90 58 Suction-Side 40.840 25.914 90 59 Suction-Side 41.146 27.151 90 60 Suction-Side 41.447 28.389 90 61 Suction-Side 41.741 29.629 90 62 Suction-Side 42.028 30.870 90 63 Suction-Side 42.311 32.113 90 64 Suction-Side 42.590 33.356 90 65 Suction-Side 42.864 34.600 90 66 Suction-Side 43.135 35.846 90 67 Suction-Side 43.400 37.092 90 68 Suction-Side 43.665 38.338 90 69 Suction-Side 43.924 39.585 90 70 Suction-Side 44.182 40.834 90 71 Suction-Side 44.437 42.082 90 72 Suction-Side 44.689 43.330 90 73 Suction-Side 44.940 44.580 90 74 Suction-Side 45.188 45.830 90 75 Suction-Side 45.436 47.080 90 76 Suction-Side 45.681 48.329 90 77 Suction-Side 45.925 49.580 90 78 Suction-Side 46.169 50.831 90 79 Suction-Side 46.411 52.082 90 80 Suction-Side 46.652 53.333 90 81 Suction-Side 46.894 54.584 90 82 Suction-Side 47.133 55.835 90 83 Suction-Side 47.373 57.087 90 84 Suction-Side 47.612 58.338 90 85 Suction-Side 47.851 59.590 90 86 Suction-Side 48.089 60.841 90 87 Suction-Side 48.327 62.093 90 88 Suction-Side 48.564 63.345 90 89 Suction-Side 48.803 64.596 90 90 Suction-Side 49.040 65.848 90 91 Suction-Side 49.278 67.100 90 92 Suction-Side 49.515 68.351 90 93 Suction-Side 49.754 69.603 90 94 Suction-Side 49.991 70.856 90 95 Suction-Side 50.230 72.106 90 96 Suction-Side 50.469 73.359 90 97 Suction-Side 50.707 74.610 90 98 Suction-Side 50.947 75.862 90 99 Suction-Side 51.187 77.113 90 100 Suction-Side 51.410 78.366 90 101 Pressure-Side 50.689 79.310 90 102 Pressure-Side 49.750 79.105 90 103 Pressure-Side 49.289 78.233 90 104 Pressure-Side 48.929 77.299 90 105 Pressure-Side 48.563 76.368 90 106 Pressure-Side 48.192 75.439 90 107 Pressure-Side 47.815 74.513 90 108 Pressure-Side 47.432 73.589 90 109 Pressure-Side 47.043 72.667 90 110 Pressure-Side 46.647 71.748 90 111 Pressure-Side 46.248 70.831 90 112 Pressure-Side 45.843 69.916 90 113 Pressure-Side 45.435 69.002 90 114 Pressure-Side 45.021 68.092 90 115 Pressure-Side 44.602 67.184 90 116 Pressure-Side 44.179 66.278 90 117 Pressure-Side 43.752 65.373 90 118 Pressure-Side 43.319 64.470 90 119 Pressure-Side 42.882 63.570 90 120 Pressure-Side 42.442 62.672 90 121 Pressure-Side 41.998 61.776 90 122 Pressure-Side 41.548 60.882 90 123 Pressure-Side 41.094 59.990 90 124 Pressure-Side 40.638 59.100 90 125 Pressure-Side 40.176 58.213 90 126 Pressure-Side 39.711 57.328 90 127 Pressure-Side 39.242 56.444 90 128 Pressure-Side 38.770 55.562 90 129 Pressure-Side 38.294 54.682 90 130 Pressure-Side 37.814 53.804 90 131 Pressure-Side 37.332 52.928 90 132 Pressure-Side 36.846 52.054 90 133 Pressure-Side 36.356 51.181 90 134 Pressure-Side 35.864 50.311 90 135 Pressure-Side 35.368 49.442 90 136 Pressure-Side 34.870 48.574 90 137 Pressure-Side 34.368 47.709 90 138 Pressure-Side 33.865 46.845 90 139 Pressure-Side 33.357 45.982 90 140 Pressure-Side 32.848 45.121 90 141 Pressure-Side 32.337 44.262 90 142 Pressure-Side 31.821 43.404 90 143 Pressure-Side 31.305 42.547 90 144 Pressure-Side 30.785 41.693 90 145 Pressure-Side 30.262 40.840 90 146 Pressure-Side 29.738 39.988 90 147 Pressure-Side 29.211 39.137 90 148 Pressure-Side 28.682 38.289 90 149 Pressure-Side 28.149 37.441 90 150 Pressure-Side 27.616 36.595 90 151 Pressure-Side 27.078 35.752 90 152 Pressure-Side 26.539 34.909 90 153 Pressure-Side 25.996 34.069 90 154 Pressure-Side 25.452 33.230 90 155 Pressure-Side 24.903 32.393 90 156 Pressure-Side 24.353 31.558 90 157 Pressure-Side 23.798 30.725 90 158 Pressure-Side 23.241 29.894 90 159 Pressure-Side 22.681 29.065 90 160 Pressure-Side 22.116 28.239 90 161 Pressure-Side 21.550 27.415 90 162 Pressure-Side 20.979 26.594 90 163 Pressure-Side 20.404 25.775 90 164 Pressure-Side 19.826 24.958 90 165 Pressure-Side 19.245 24.144 90 166 Pressure-Side 18.659 23.333 90 167 Pressure-Side 18.069 22.525 90 168 Pressure-Side 17.475 21.721 90 169 Pressure-Side 16.876 20.919 90 170 Pressure-Side 16.273 20.121 90 171 Pressure-Side 15.665 19.327 90 172 Pressure-Side 15.051 18.536 90 173 Pressure-Side 14.433 17.750 90 174 Pressure-Side 13.809 16.968 90 175 Pressure-Side 13.180 16.190 90 176 Pressure-Side 12.546 15.417 90 177 Pressure-Side 11.905 14.649 90 178 Pressure-Side 11.258 13.886 90 179 Pressure-Side 10.605 13.127 90 180 Pressure-Side 9.945 12.376 90 181 Pressure-Side 9.279 11.629 90 182 Pressure-Side 8.607 10.889 90 183 Pressure-Side 7.927 10.155 90 184 Pressure-Side 7.240 9.427 90 185 Pressure-Side 6.546 8.707 90 186 Pressure-Side 5.845 7.993 90 187 Pressure-Side 5.137 7.286 90 188 Pressure-Side 4.422 6.588 90 189 Pressure-Side 3.700 5.895 90 190 Pressure-Side 2.971 5.209 90 191 Pressure-Side 2.236 4.530 90 192 Pressure-Side 1.497 3.857 90 193 Pressure-Side 0.753 3.188 90 194 Pressure-Side 0.007 2.521 90 195 Pressure-Side −0.736 1.852 90 196 Pressure-Side −1.472 1.175 90 197 Pressure-Side −2.192 0.480 90 198 Pressure-Side −2.875 −0.251 90 199 Pressure-Side −3.480 −1.048 90 200 Pressure-Side −3.903 −1.950 90 1 Suction-Side −4.454 −3.147 100 2 Suction-Side −4.182 −4.394 100 3 Suction-Side −3.689 −5.573 100 4 Suction-Side −3.033 −6.671 100 5 Suction-Side −2.257 −7.687 100 6 Suction-Side −1.387 −8.623 100 7 Suction-Side −0.441 −9.485 100 8 Suction-Side 0.567 −10.272 100 9 Suction-Side 1.625 −10.989 100 10 Suction-Side 2.728 −11.636 100 11 Suction-Side 3.870 −12.214 100 12 Suction-Side 5.044 −12.721 100 13 Suction-Side 6.247 −13.155 100 14 Suction-Side 7.475 −13.515 100 15 Suction-Side 8.722 −13.798 100 16 Suction-Side 9.985 −13.999 100 17 Suction-Side 11.258 −14.114 100 18 Suction-Side 12.537 −14.140 100 19 Suction-Side 13.815 −14.072 100 20 Suction-Side 15.083 −13.908 100 21 Suction-Side 16.335 −13.649 100 22 Suction-Side 17.564 −13.294 100 23 Suction-Side 18.761 −12.845 100 24 Suction-Side 19.922 −12.307 100 25 Suction-Side 21.042 −11.689 100 26 Suction-Side 22.116 −10.995 100 27 Suction-Side 23.143 −10.233 100 28 Suction-Side 24.124 −9.411 100 29 Suction-Side 25.056 −8.536 100 30 Suction-Side 25.945 −7.616 100 31 Suction-Side 26.789 −6.655 100 32 Suction-Side 27.592 −5.660 100 33 Suction-Side 28.357 −4.635 100 34 Suction-Side 29.087 −3.584 100 35 Suction-Side 29.783 −2.510 100 36 Suction-Side 30.447 −1.417 100 37 Suction-Side 31.083 −0.307 100 38 Suction-Side 31.692 0.818 100 39 Suction-Side 32.274 1.957 100 40 Suction-Side 32.832 3.108 100 41 Suction-Side 33.370 4.269 100 42 Suction-Side 33.885 5.439 100 43 Suction-Side 34.381 6.618 100 44 Suction-Side 34.859 7.805 100 45 Suction-Side 35.321 8.999 100 46 Suction-Side 35.766 10.197 100 47 Suction-Side 36.198 11.401 100 48 Suction-Side 36.616 12.611 100 49 Suction-Side 37.021 13.824 100 50 Suction-Side 37.415 15.040 100 51 Suction-Side 37.797 16.262 100 52 Suction-Side 38.169 17.486 100 53 Suction-Side 38.532 18.712 100 54 Suction-Side 38.886 19.941 100 55 Suction-Side 39.231 21.173 100 56 Suction-Side 39.569 22.406 100 57 Suction-Side 39.900 23.643 100 58 Suction-Side 40.223 24.880 100 59 Suction-Side 40.541 26.120 100 60 Suction-Side 40.852 27.360 100 61 Suction-Side 41.158 28.602 100 62 Suction-Side 41.459 29.846 100 63 Suction-Side 41.755 31.091 100 64 Suction-Side 42.048 32.335 100 65 Suction-Side 42.337 33.581 100 66 Suction-Side 42.622 34.829 100 67 Suction-Side 42.903 36.077 100 68 Suction-Side 43.182 37.326 100 69 Suction-Side 43.459 38.574 100 70 Suction-Side 43.733 39.824 100 71 Suction-Side 44.005 41.073 100 72 Suction-Side 44.274 42.324 100 73 Suction-Side 44.542 43.575 100 74 Suction-Side 44.808 44.826 100 75 Suction-Side 45.072 46.078 100 76 Suction-Side 45.335 47.329 100 77 Suction-Side 45.596 48.581 100 78 Suction-Side 45.857 49.835 100 79 Suction-Side 46.116 51.087 100 80 Suction-Side 46.376 52.340 100 81 Suction-Side 46.633 53.592 100 82 Suction-Side 46.890 54.846 100 83 Suction-Side 47.146 56.099 100 84 Suction-Side 47.400 57.353 100 85 Suction-Side 47.656 58.606 100 86 Suction-Side 47.909 59.860 100 87 Suction-Side 48.164 61.114 100 88 Suction-Side 48.417 62.367 100 89 Suction-Side 48.671 63.622 100 90 Suction-Side 48.924 64.875 100 91 Suction-Side 49.177 66.130 100 92 Suction-Side 49.432 67.383 100 93 Suction-Side 49.685 68.636 100 94 Suction-Side 49.940 69.891 100 95 Suction-Side 50.193 71.144 100 96 Suction-Side 50.448 72.398 100 97 Suction-Side 50.704 73.651 100 98 Suction-Side 50.958 74.905 100 99 Suction-Side 51.214 76.158 100 100 Suction-Side 51.457 77.414 100 101 Pressure-Side 50.756 78.375 100 102 Pressure-Side 49.816 78.192 100 103 Pressure-Side 49.335 77.337 100 104 Pressure-Side 48.957 76.415 100 105 Pressure-Side 48.574 75.497 100 106 Pressure-Side 48.186 74.580 100 107 Pressure-Side 47.793 73.666 100 108 Pressure-Side 47.394 72.754 100 109 Pressure-Side 46.990 71.845 100 110 Pressure-Side 46.580 70.936 100 111 Pressure-Side 46.165 70.032 100 112 Pressure-Side 45.745 69.130 100 113 Pressure-Side 45.319 68.230 100 114 Pressure-Side 44.890 67.333 100 115 Pressure-Side 44.454 66.437 100 116 Pressure-Side 44.013 65.545 100 117 Pressure-Side 43.568 64.655 100 118 Pressure-Side 43.118 63.767 100 119 Pressure-Side 42.662 62.882 100 120 Pressure-Side 42.202 62.000 100 121 Pressure-Side 41.736 61.120 100 122 Pressure-Side 41.264 60.244 100 123 Pressure-Side 40.789 59.368 100 124 Pressure-Side 40.308 58.497 100 125 Pressure-Side 39.824 57.628 100 126 Pressure-Side 39.334 56.761 100 127 Pressure-Side 38.840 55.897 100 128 Pressure-Side 38.343 55.035 100 129 Pressure-Side 37.841 54.175 100 130 Pressure-Side 37.335 53.318 100 131 Pressure-Side 36.826 52.463 100 132 Pressure-Side 36.315 51.608 100 133 Pressure-Side 35.799 50.758 100 134 Pressure-Side 35.282 49.907 100 135 Pressure-Side 34.760 49.060 100 136 Pressure-Side 34.236 48.213 100 137 Pressure-Side 33.710 47.368 100 138 Pressure-Side 33.181 46.525 100 139 Pressure-Side 32.650 45.683 100 140 Pressure-Side 32.116 44.842 100 141 Pressure-Side 31.581 44.004 100 142 Pressure-Side 31.044 43.165 100 143 Pressure-Side 30.507 42.328 100 144 Pressure-Side 29.967 41.492 100 145 Pressure-Side 29.426 40.656 100 146 Pressure-Side 28.884 39.821 100 147 Pressure-Side 28.340 38.987 100 148 Pressure-Side 27.797 38.153 100 149 Pressure-Side 27.252 37.321 100 150 Pressure-Side 26.705 36.488 100 151 Pressure-Side 26.158 35.657 100 152 Pressure-Side 25.608 34.827 100 153 Pressure-Side 25.058 33.999 100 154 Pressure-Side 24.504 33.170 100 155 Pressure-Side 23.950 32.344 100 156 Pressure-Side 23.393 31.519 100 157 Pressure-Side 22.835 30.695 100 158 Pressure-Side 22.274 29.873 100 159 Pressure-Side 21.710 29.053 100 160 Pressure-Side 21.144 28.233 100 161 Pressure-Side 20.576 27.416 100 162 Pressure-Side 20.006 26.600 100 163 Pressure-Side 19.433 25.786 100 164 Pressure-Side 18.857 24.974 100 165 Pressure-Side 18.278 24.165 100 166 Pressure-Side 17.696 23.357 100 167 Pressure-Side 17.110 22.553 100 168 Pressure-Side 16.521 21.750 100 169 Pressure-Side 15.928 20.951 100 170 Pressure-Side 15.330 20.155 100 171 Pressure-Side 14.728 19.362 100 172 Pressure-Side 14.121 18.574 100 173 Pressure-Side 13.510 17.788 100 174 Pressure-Side 12.894 17.006 100 175 Pressure-Side 12.273 16.229 100 176 Pressure-Side 11.646 15.455 100 177 Pressure-Side 11.015 14.685 100 178 Pressure-Side 10.378 13.920 100 179 Pressure-Side 9.736 13.160 100 180 Pressure-Side 9.088 12.405 100 181 Pressure-Side 8.433 11.655 100 182 Pressure-Side 7.774 10.909 100 183 Pressure-Side 7.106 10.170 100 184 Pressure-Side 6.433 9.437 100 185 Pressure-Side 5.754 8.710 100 186 Pressure-Side 5.067 7.989 100 187 Pressure-Side 4.376 7.274 100 188 Pressure-Side 3.678 6.564 100 189 Pressure-Side 2.974 5.860 100 190 Pressure-Side 2.264 5.162 100 191 Pressure-Side 1.551 4.468 100 192 Pressure-Side 0.834 3.777 100 193 Pressure-Side 0.114 3.091 100 194 Pressure-Side −0.607 2.404 100 195 Pressure-Side −1.323 1.714 100 196 Pressure-Side −2.032 1.015 100 197 Pressure-Side −2.723 0.299 100 198 Pressure-Side −3.378 −0.452 100 199 Pressure-Side −3.958 −1.259 100 200 Pressure-Side −4.372 −2.162 100

It will also be appreciated that the airfoil 250 disclosed in the above Table 1 may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table 1 may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table 1 would be represented by X, Y and Z coordinate values of Table 1, with the X, Y and Z non-dimensional coordinate values converted to inches, multiplied or divided by a constant number.

An important term in this disclosure is profile. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in Table 1. The actual profile on a manufactured blade will be different than those in Table 1 and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, an approximately + or −5% profile tolerance is used herein. The X, Y and Z values are all non-dimensionalized relative to the airfoil height.

The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. The airfoil shape provides a unique profile to achieve (1) interaction between other stages in the high pressure turbine; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points allow the gas turbine or any other suitable turbine to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil may be adopted as long as (1) interaction between other stages in the high pressure turbine; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine.

The airfoil 250 described herein thus improves overall gas turbine 100 efficiency. Specifically, the airfoil 250 provides the desired turbine efficiency lapse rate (ISO, hot, cold, part load, etc.). The airfoil 250 also meets all aeromechanics and stress requirements.

It should be apparent that the foregoing relates only to certain embodiments of the present application and the resultant patent. Numerous changes and modifications may be made herein by one of ordinary skill in the art without departing from the general spirit and scope of the invention as defined by the following claims and the equivalents thereof 

1. A turbine nozzle including a nozzle airfoil having an airfoil shape, the nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the nozzle airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.
 2. The turbine nozzle according to claim 1, forming part of a stage of a turbine.
 3. The turbine nozzle according to claim 1, wherein the airfoil shape lies in an envelope within at least one of, +/−5% and +/−5% of a chord length in a direction normal to any airfoil surface location.
 4. The turbine nozzle according to claim 1, wherein a height of the turbine nozzle is about 4 inches to about 20 inches.
 5. A turbine nozzle including a nozzle airfoil having a suction-side uncoated nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the nozzle airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.
 6. The turbine nozzle according to claim 5, forming part of a stage of a turbine.
 7. The turbine nozzle according to claim 5, wherein the suction-side airfoil shape lies in an envelope within at least one of, +/−5% and +/−5% of a chord length in a direction normal to any airfoil surface location.
 8. The turbine nozzle according to claim 5, wherein a height of the turbine nozzle is about 4 inches to about 20 inches.
 9. A turbine comprising a plurality of nozzles, each of the nozzles including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape.
 10. The turbine according to claim 9, wherein the plurality of nozzles comprise a stage of the turbine.
 11. The turbine according to claim 9, wherein X represents a distance parallel to the turbine axis of rotation.
 12. The turbine according to claim 9, wherein the suction-side airfoil shape lies in an envelope within at least one of, +/−5% and +/−5% of a chord length in a direction normal to any airfoil surface location.
 13. The turbine according to claim 9, wherein a height of the nozzle is about 4 inches to about 20 inches.
 14. The turbine according to claim 9, wherein each of the nozzles includes an airfoil having a pressure-side airfoil shape, the airfoil having a nominal profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.
 15. The turbine according to claim 14, wherein the plurality of nozzles comprise a stage of the turbine.
 16. The turbine according to claim 14, wherein X represents a distance parallel to the turbine axis of rotation.
 17. The turbine according to claim 14, wherein the pressure-side airfoil shape lies in an envelope within at least one of, +/−5% and +/−5% of a chord length in a direction normal to any airfoil surface location.
 18. A turbine according to claim 14, wherein a height of the nozzle is about 4 inches to about 20 inches. 